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Finding the Fourth Proportional to 10,264.77, 14,165.39 and 5,549.05

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Solution

The fourth proportional to 10,264.77, 14,165.39 and 5,549.05 is: 7,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.77 : 14,165.39 = 5,549.05 : x
  2. Step 2: Convert to fraction form
    10,264.77/14,165.39 = 5,549.05/x
  3. Step 3: Cross multiply
    10,264.77x = 14,165.39 × 5,549.05
  4. Step 4: Simplify right side
    10,264.77x = 78,604,358.81
  5. Step 5: Solve for x
    x = 78,604,358.81/10,264.77
  6. Step 6: Final answer
    x = 7,657.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.